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Finding the Fourth Proportional to 206,852.64, 285,587.28 and 143,167.20

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Solution

The fourth proportional to 206,852.64, 285,587.28 and 143,167.20 is: 197,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.64 : 285,587.28 = 143,167.20 : x
  2. Step 2: Convert to fraction form
    206,852.64/285,587.28 = 143,167.20/x
  3. Step 3: Cross multiply
    206,852.64x = 285,587.28 × 143,167.20
  4. Step 4: Simplify right side
    206,852.64x = 40,886,731,233.22
  5. Step 5: Solve for x
    x = 40,886,731,233.22/206,852.64
  6. Step 6: Final answer
    x = 197,661.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.